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Finding the Fourth Proportional to 3,086.97, 4,630.61 and 1,006.97

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Solution

The fourth proportional to 3,086.97, 4,630.61 and 1,006.97 is: 1,510.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.97 : 4,630.61 = 1,006.97 : x
  2. Step 2: Convert to fraction form
    3,086.97/4,630.61 = 1,006.97/x
  3. Step 3: Cross multiply
    3,086.97x = 4,630.61 × 1,006.97
  4. Step 4: Simplify right side
    3,086.97x = 4,662,891.89
  5. Step 5: Solve for x
    x = 4,662,891.89/3,086.97
  6. Step 6: Final answer
    x = 1,510.51

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.